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Finding the Third Proportional to 82,167 and 176,997

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Solution

The third proportional to 82,167 and 176,997 is: 381,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167 : 176,997 = 176,997 : x
  2. Step 2: Convert to fraction form
    82,167/176,997 = 176,997/x
  3. Step 3: Cross multiply
    82,167x = 176,997 × 176,997
  4. Step 4: Simplify right side
    82,167x = 31,327,938,009
  5. Step 5: Solve for x
    x = 31,327,938,009/82,167
  6. Step 6: Final answer
    x = 381,271.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.